3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
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Find the sum: (3x3 + 2x2 + x + 4) + (2x3 - x2 - 3x + 1)
Answer:
24-4x
Step-by-step explanation:
That's your answer
Find the scale factor of the figures. Then list all pairs of congruent angles.
Give the difference of (7.2 x 10-7) - (4.5 x 10-7)
Answer:
2.7 x 10 7
Step-by-step explanation:
This is the correct answer !
Find the equation of the tangent line to the function f(x) = 3x3 - x + 2 at a =0
Answer:
y=(9a^2-1)x-6a^3+2
Step-by-step explanation:
Pls answer all :D tysmm ill mark brainliest
Answer:
13= -13
14= 57
15= 216
Step-by-step explanation:
hoep this helps
Use the graph of the line to answer the questions. what is an equation of the line in slope-point form? _____
How can the point-slope form be written in function notation?
_______
The slope-point form is y + 1 = (1/4) (x +2)
The function notation for the point-slope form is f(x) = -1 + (1/4) (x +2)
From the graph, we get two points (x₁, y₁) = (-2, -1) and (x₂, y₂) = (2,0)
Slope, m = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{0 --1}{2--2}\)
= 1/4
The slope-point form of a line is (y-y₁) = m(x-x₁), where (x, y) is the general point on the line, (x₁, y₁) is a given point on the line and m, the slope of the line.
So here the slope-point form of the line is,
(y- -1) = 1/4(x- -2)
⇒ y + 1 = (1/4) (x +2)
For the function notation, we put y = f(x) simply and write it as,
f(x) = -1 + (1/4) (x +2)
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the first one is c
the second is B
Step-by-step explanation:
Jasmine finished the bike trail in 2.5 hours at an average rate of 9310 miles per hour. Lucy biked the same trail at a rate of 615 miles per hour. How long did it take Lucy to bike the same trail?
Answer:
.
Step-by-step explanation:
It takes 37.85 hours for Lucy to bike the same trail.
Given that, Jasmine finished the bike trail in 2.5 hours at an average rate of 9310 miles per hour.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
We know that, Distance = Speed × Time
Here, Distance = 9310 × 2.5
= 23275 miles
Now, Time = Distance/Speed
= 23275/615
= 37.85 hours
Therefore, it takes 37.85 hours for Lucy to bike the same trail.
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Write two linear functions, f(x) and g(x). For example, f(x)=
3x-7-and glx) = -2x+5. Then see whether f(x)= (-g(x)) is equivalent to f(x) + g(x) hint : To find -g(x), just change the signs of all the terms in g(x). Discuss whether you think your results would apply to every function.
The most appropriate choice for functions will be given by -
f (x) - (-g(x)) = f(x) + g(x) holds for f(x)=3x-7-and g(x) = -2x+5.
f (x) - (-g(x)) = f(x) + g(x) holds for every functions
What is a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
For f(x) - (-g(x))
-g(x) = -(-2x + 5)
= 2x - 5
f (x) - (-g(x)) = (3x - 7) - (2x - 5)
3x - 7 - 2x + 5
x - 2
For f(x) + g(x)
f(x) + g(x) = (3x - 7) + (-2x + 5)
= 3x - 7 - 2x + 5
= x - 2
So f (x) - (-g(x)) = f(x) + g(x) holds here
Since addition and subtractions can be done on functions,
f (x) - (-g(x)) = f(x) + g(x) holds for every functions.
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URGENT WILL GIVE YOU BRAINLIEST!!!
Answer:
#3
Step-by-step explanation:
I need help pls on this problem
A company will lend Maya’s older sister $4,000. Every month, she will pay $11.88 in interest. What is the interest rate, rounded to the nearest tenth of a percent, for 1 year?
Answer:
120 i think
Step-by-step explanation:
$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year and 10 times 12 is 120
Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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write an equation of the line that passes through the given point and is parallel to the given line (14,3);2y -x =8
Answer:
Equation of line is given as y = mx + c, where m is the gradient/slope and c is the y-intercept.
First, rearrange 2y - x = 8 into y = mx + c form so that we can find out the gradient of the line.
2y - x = 8
2y = x + 8
y = 1/2x + 4
Since parallel lines have the same gradient, equation of line is y = 1/2x + c.
Substitute (14,3) into the equation to find c.
3 = 1/2(14) + c
3 = 7 + c
c = -4
Hence, equation of line is y = 1/2x - 4.
a right triangle had side lengths d,e,and f as shown below. use these lengths to find sin x cos x and tan x
Find the volume of the figure.
Answer:
7777.5 ft^3
Step-by-step explanation:
First, separate the solid into two, the triangular prism and the rectangular prism. Then, find the area of both solids.
\(A_{triangular prism}=BA *h\)
\(A_{triangular prism} = (\frac{1}{2} * 17 * 19) *15\)
\(A_{triangular prism}=161.5*15\)
\(A_{triangular prism}=2422.5ft^3\)
\(A_{rectangular prism} = l * w * h\)
\(A_{rectangular prism}=17*15*21\)
\(A_{rectangular prism}=5355ft^3\)
Finally, add together both values
\(A_{total}=A_{triangular prism}+A_{rectangular prism}\)
\(A_{total}=2422.5+5355\)
\(A_{total}=7777.5ft^3\)
write all the integers between the pairs in increasing orders A.-30 and -23 B. -3 and 3
please help
Answer:
Step-by-step explanation:
-30, -29,-28,-27,-26,-25,-24,-23
B) -3,-2,-1,0,1,2,3
Write an equation in point-slope form of (-3,5) (9,1)
To find the slope:
Y(2)- Y(1) 1-5 -4= 1
X(2)-X(1) 9+3 12= -3
Slope = -1/3
To find y-intercept, substitute:
Y=Mx+B
1= -1/3(9) + B
1= -3 + B
4= B
Convert to point-slope form:
Y=-1/3x+4
+ 1/3x
Your answer is:
1/3x+y=4
if you got 8 out of 17 questions right and they are worth 2 points each what did you make on the test
the test-taker made a score of 16 points on the test.
16 points
8 questions x 2 points per question = 16 points
The test consisted of 17 questions, each worth two points. By answering 8 of them correctly, the test-taker was able to earn 16 points. This score was acquired by multiplying the number of correct questions by the two points per question. Therefore, the test-taker made a score of 16 points on the test.
The test consisted of 17 multiple-choice questions, each worth two points. Each question contained four possible answers, one of which was the correct answer. By selecting the correct answer to 8 questions, the test-taker earned a total of 16 points. This score was calculated by multiplying the number of correct questions by the two points per question. Therefore, the test-taker achieved a score of 16 points on the test.
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Solve the following quadratic inequality x^2+x-6>0
Answer:
x < -3 or x > 2
Step-by-step explanation:
x² + x - 6 > 0
Convert the inequality to an equation.
x² + x - 6 = 0
Factor using the AC method and get:
(x - 2) (x + 3) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x - 2 = 0
x = 2
x + 3 = 0
x = -3
So, the solution is x < -3 or x > 2
use deductive reasoning to show that the following procedure always produces the number 8. procedure: pick a number. add 5 to the number and multiply the sum by 3. subtract 7 and then decrease this difference by the triple of the original number.
After using the deductive reasoning the procedure always produces the number 8.
Procedure:
Let the number be x.
We have to add 5 to the number x.
So the expression is x + 5.
We have to multiply the sum by 3.
Now the expression is 3(x + 5).
Now we have to subtract 7.
Now the expression is 3(x + 5) - 7.
Then we have to decrease this difference by the triple of the original number.
The triple of original number is 3x.
Now the expression is {3(x + 5) - 7} - 3x.
Now solving this expression
= {3(x + 5) - 7} - 3x.
First simplify the bracket
= 3x + 15 - 7 - 3x.
= 8
Now we can se that the after following the whole procedure the answer is 8.
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Barbie lives 12 miles from work. Linda
lives 1 3/4 times farther from work than
Barbie. About how far does Linda live
Answer:
21 miles
Step-by-step explanation:
12 * 1.75
Order these numbers from least to greatest.
3.3661, 3.5, 3.36, 3.036
Answer:
3.036, 3.36, 3.3661 , 3.5
Step-by-step explanation:
Look at the first 2 numbers
3.3661, 3.5, 3.36, 3.036
We can order them as 3.0 , 3.3 , 3.3 . 3.5
So 3.036 is first one
Now we have 2 of the 3.3's
One is 3.3661 and the other one is 3.3600
Because if you add a number to the end it will always be a zero and it wont change the answer
So 3.36 is second and 3.3661 is third one
3.5 is bigger than 3.3
So 3.5 is last
A chemical plant manufactures fertilizer. A particular fertilizer recipe calls for 2 units of potash for every 3 units of urea. The potash is shipped to the plant in modular pallets with dimensions (x+6) by (x-2). The urea is shipped to the plant in modular pallets with dimension (x-2) by (x+1). Assuming equal molar density in each product, calculate x such that there is no material left over after manufacturing the fertilizer.
The value of x such that no meterial left over after manufacturing the fertilizer is 1
How to calculate for x?The area of a place is the floor space occupied by an object. we are to determine the value of x in the length and width of the floor to be used by the manufacturer
The givn parameters are the use of
2 units of potash and
3 units of urea.
Recall that the area of a rectangular floor space is (L*W).
This implies that (x+6)(x-2)=2
x²-2x+6x-12=2
x²+4x-10=0 .......................... (1)
Also, for the urea
Area= (x-3)(x+1)=3
x²+x-2x-2=3
x²-x-2-3=0
This implies that
x²-x-5=0 .............................(2)
Assuming equal molar density in each product,
equations 1 and 2 are equal
x²+4x-10=x²-x-5
Collecting like terms
x²-x+4x+x-10+5=0
5x-5=0
5x=5
x=1
Therefore, assuming equal molar density in each product the value of x=1
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Line A has a y-intercept of 6 and is perpendicular to the line given by
y = 5x + 1.
What is the equation of line A?
-ive your answer in the form y = mx + c, where m and c are integers or
fractions in their simplest forms.ok
The equation of line A in the form y = mx + c is y = (-1/5)x + 6
We have,
The given line has a slope of 5 since it is in the form y = mx + b where m is the slope.
So a line perpendicular to it will have a slope of -1/5 because the product of the slopes of perpendicular lines is -1.
Since the y-intercept of line A is 6, the equation of line A can be written as:
y = (-1/5)x + 6
Therefore,
The equation of line A in the form y = mx + c is y = (-1/5)x + 6
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Credit card A has an APR of 20.8% and an annual fee of $60, while credit card
B has an APR of 24.6% and no annual fee. All else being equal, which of these
equations can be used to solve for the principal, P, the amount at which the
cards offer the same deal over the course of a year? (Assume all interest is
compounded monthly.)
The amount at which the cards offer the same deal over the course of a year is a $2,333.33
Since credit card finance charge is the fee associated with using credit.
Credit card issuers use the finance charges to minimize non-payment risks and earn some profits for extending credit to cardholders.
Data and Calculations:
Card A Credit B
APR 20.8% 24.6%
Annual fee $60 $0
To calculate the balance required, the required equation is
= 22%x + $40 = 24.6%x
Where x = required balance
Thus,
= 0.208x + $60 = 0.246x
= $60 = 0.03x (0.246x- 0.208x )
= 0.03x = $60
x = $60 /0.03
x = $2,333.33
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Alisha and Emily are making t-shirts for the Math team. they need a total of 21 shirts. Alisha has made 13 shirts and Emily made p shirts . Write a formula to model this
The formula to model the given situation is 13 + p = 21 .
In the question ,
it is given that ,
Alisha and Emily are making T- Shirts for the Math's team .
total number of T- Shirts required = 21 shirts .
number of shirts made by Alisha = 13 shirts
number of shirts made by Emily = p shirts
So , the equation that represents the given situation is
13 + p = 21
Solving further , we get
p = 21 - 13
p = 8
So , Emily made 8 T - Shirts .
Therefore , The formula to model the given situation is 13 + p = 21 .
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What is the inequality shown?
Answer:
-1 < x < 2
interval notation: (-1, 2)
Step-by-step explanation:
Given the open circles on the x-values of -1 and 2, this means that these endpoints are not included in the solution set. Since the bounded intervals are between -1 and 2, then it implies that the x values for the solution must be between these values, not including -1 and 2.
Therefore, the inequality statement for the given figure is: -1 < x < 2, which can be written in the following interval notation: (-1, 2).
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At the end of Evan's party, there were 1 1 pizzas left. Evan ate į pizza for lunch the next day. What fraction of a pizza was left after Evan's lunch? Move numbers to the boxes to complete the equation. PLEASE HELP WILL GIVE BRAINLIEST
So, after Evan's lunch, there was 7/8 quantity of pizza left.
Here we can write,
The simple fraction of \(1\frac{1}{8}\) = 9/8
So, if there were 9/8 pizzas left at the end of the party and Evan ate 2/8 of a pizza for lunch,
we can start by subtracting the amount that Evan ate from the total amount that was left,
⇒ 9/8 - 2/8
To subtract fractions with like denominators,
We can simply subtract the numerators and keep the same denominator,
⇒ 9/8 - 2/8 = 7/8
So, after Evan's lunch, there were 7/8 of a pizza left.
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(x + 4)(3x + 2) = ____________ 2. (3x – 1)(2x – 5) = ____________ 3. (5x + 2)(2x + 5) = ____________ 4. (4x – 1)(2x + 7) = ____________ 5. (2x + 6)(4x + 8) = _n
Answer:
o 1)
\((x + 4)(3x + 2) \\ \\ (x)(3x) + (x)(2) + (4)(3x) + (4)(2) \\ \\ = 3 {x}^{2} + 2x + 12x + 8 \\ = 3 {x}^{2} + 14x + 8\)
__o__o___
o 2)
\((3x - 1)(2x - 5) \\ \\ (3x)(2x) + (3x) ( - 5)+ ( - 1)(2x) + ( - 1)( - 5) \\ \\ = 6 {x}^{2} - 15x - 2x + 5 \\ \\ = 6 {x}^{2} - 17x + 5\)
__o__o___
o 3)
\((5x + 2)(2x + 5) \\ \\ = (5x)(2x) + (5x)(5) + (2)(2x) + (2)(5) \\ \\ = 10 {x}^{2} + 25x + 4x + 10 \\ \\ = 10 {x}^{2} + 29x + 10\)
__o__o__
o 4)
\((4x - 1)(2x + 7) \\ \\ = (4x)(2x) + (4x)(7) + ( - 1)(2x) + ( - 1)(7) \\ \\ = 8 {x}^{2} + 28x - 2x - 7 \\ \\ = 8 {x}^{2} + 26x - 7\)
__o__o___
o 5)
\((2x + 6)(4x + 8) \\ \\ = (2x)(4x) + (2x)(8) + (6)(4x) + (6)(8) \\ \\ = 8 {x}^{2} + 16x + 24x + 48 \\ \\ = 8 {x}^{2} + 40x + 48\)